100560100 has 72 divisors (see below), whose sum is σ = 233188200. Its totient is φ = 37509120.

The previous prime is 100560091. The next prime is 100560113. The reversal of 100560100 is 1065001.

It can be written as a sum of positive squares in 12 ways, for example, as 24661156 + 75898944 = 4966^2 + 8712^2 .

It is a super-2 number, since 2×100560100² = 20224667424020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253102 + ... + 253498.

It is an arithmetic number, because the mean of its divisors is an integer number (3238725).

Almost surely, 2^100560100 is an apocalyptic number.

100560100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116594100).

100560100 is an abundant number, since it is smaller than the sum of its proper divisors (132628100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100560100 is a wasteful number, since it uses less digits than its factorization.

100560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100560100 is about 10027.9658954346. The cubic root of 100560100 is about 465.0238550987.

The spelling of 100560100 in words is "one hundred million, five hundred sixty thousand, one hundred".